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Finding the Fourth Proportional to 10,283.90, 15,425.86 and 3,710.00

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Solution

The fourth proportional to 10,283.90, 15,425.86 and 3,710.00 is: 5,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.90 : 15,425.86 = 3,710.00 : x
  2. Step 2: Convert to fraction form
    10,283.90/15,425.86 = 3,710.00/x
  3. Step 3: Cross multiply
    10,283.90x = 15,425.86 × 3,710.00
  4. Step 4: Simplify right side
    10,283.90x = 57,229,854.20
  5. Step 5: Solve for x
    x = 57,229,854.20/10,283.90
  6. Step 6: Final answer
    x = 5,564.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.